PYQ Vault

Day 140: SSC CGL Quant

5 questions. Try each one first, then open its answer.

  1. Question 1

    Ratio, Proportion and Variation. Asked once: 17 Sep 2025 S2 (same type asked 8 times) See all 8 of this type

    60
    A barrel contains a mixture of alcohol and water in the ratio 7:4 respectively. If 12 litres of water are added to it, the ratio of alcohol to water becomes 7:6. Find the initial total quantity of the mixture in the barrel.

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 19 Sep 2025 S3 (same type asked 8 times) See all 8 of this type

    65
    If sin⁡x+cos⁡x=2\sin x + \cos x = \sqrt{2}, what is the value of sin⁡x−cos⁡x\sin x - \cos x?

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  3. Question 3

    Simple and Compound Interest. Asked once: 17 Sep 2025 S1 (same type asked 8 times) See all 8 of this type

    58
    Rs. 900 is lent at a certain rate of simple interest. After 9 months, another Rs. 600 is lent at a rate that is 1.5 times the original rate. If the total simple interest after 1 year is Rs. 72, find the original rate.

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 23 Sep 2024 S1 (same type asked 8 times) See all 8 of this type

    74
    Let x=rcos⁡(t)x = r \cos (t), y=rsin⁡(t)cos⁡(u)y = r \sin (t) \cos (u), z=rsin⁡(t)sin⁡(u)z = r \sin (t)\sin (u). Then the value of x2+y2+z2x^2 + y^2 + z^2 is ___.

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  5. Question 5

    Data Interpretation. Asked once: 25 Sep 2024 S3 (same type asked 8 times) See all 8 of this type

    59
    The below table shows the number of 1 litre bottles of soft drink produced by three companies during 2016-2020. Study the given information carefully and answer the question that follows.
    YearA (in lakhs)B (in lakhs)C (in lakhs)
    201638,00043,00051,000
    201741,00052,00057,000
    201853,00065,00063,000
    201930,00035,00032,000
    202020,00025,00028,000
    What is the difference in average production of A and C during 2016-2018 (in lakhs)?

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